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Finding the Third Proportional to 4,605.38 and 9,934.13

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Solution

The third proportional to 4,605.38 and 9,934.13 is: 21,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.38 : 9,934.13 = 9,934.13 : x
  2. Step 2: Convert to fraction form
    4,605.38/9,934.13 = 9,934.13/x
  3. Step 3: Cross multiply
    4,605.38x = 9,934.13 × 9,934.13
  4. Step 4: Simplify right side
    4,605.38x = 98,686,839.52
  5. Step 5: Solve for x
    x = 98,686,839.52/4,605.38
  6. Step 6: Final answer
    x = 21,428.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.